Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation

TL;DR

This paper uses sonic analogs of black holes to demonstrate that high-frequency modifications do not significantly affect black hole evaporation, supporting its robustness against theoretical uncertainties at high energies.

Contribution

It provides numerical evidence that high-frequency dispersion relation changes do not alter black hole evaporation, reinforcing the process's physical reality.

Findings

High-frequency dispersion modifications do not affect evaporation.

Numerical simulations support the robustness of black hole evaporation.

Suggests insensitivity of evaporation to high-energy physics.

Abstract

The naive calculation of black hole evaporation makes the thermal emission depend on the arbitrary high frequency behaviour of the theory where the theory is certainly wrong. Using the sonic analog to black holes-- dumb holes-- I show numerically that a change in the dispersion relation at high frequencies does not seem to alter the evaporation process, lending weight to the reality of the black hole evaporation process. I also suggest a reason for the insensitivity of the process to high frequency regime.